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melisa1 [442]
3 years ago
9

The length of each arc

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0
If circle diameter = 32 then
circle circumference = PI * 32 = 100.53

Arc DE = (100/360) * 100.53 = <span> <span> <span> 27.93
Arc DHE = (270/360) * 100.53 = </span></span></span><span>75.398
Arc HDF = (235/360) * 100.53 = </span>65.624
Arc HD = (45/360) * 100.53 =  <span> <span> <span> 12.566
</span></span></span>

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What is 42% of 250. Please help me on this question
Alika [10]
105
Bc u divide 42% (0.42) x 250
3 0
4 years ago
Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a standard deviation sigma equa
Sindrei [870]

Answer:

0.7698

Step-by-step explanation:

If you call your random variable X, then what you are looking for is

P(87 \leq X \leq 123)

because you want the probability of X being <em>between 87 and 123.</em>

We need a table with of the normal distribution. But we can only find the table with \mu = 0 and \sigma = 1. Because of that, first we need to  <em>normalize </em>our random variable:

Z = \frac{X - \mu}{\sigma} = \frac{X - 105}{15}

(you can always normalize your variable following the same formula!)

now we can do something similar to our limits, to get a better expression:

\frac{87 - 105}{15} = \frac{-18}{15} = -1.2

\frac{123 - 105}{15} = \frac{18}{15} = 1.2

And we transform our problem to a simpler one:

P(87 \leq X \leq 123) = P(-1.2 \leq Z \leq 1.2) = P(Z \leq 1.2) - P(Z \leq -1.2)

(see Figure 1)

From our table we can see that P(Z \leq 1.2) = 0.8849 (this is represented in figure 2).

Remember that the whole area below the curve is exactly 1. So we can conclude that  P(Z \geq 1.2) = 0.1151 (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then

P(Z \leq -1.2)= P(Z \geq 1.2) = 0.1151.

FINALLY:

P(Z \leq 1.2) - P(Z \leq -1.2) = 0.8849 - 0.1151 = 0.7698

5 0
3 years ago
Solve the inequality: a - 4 &lt;10
harkovskaia [24]
<h3>Answer:  a < 14  (Choice B)</h3>

==================================================

Explanation:

Add 4 to both sides

a-4 < 10

a-4+4 < 10+4

a < 14

The reason why we add 4 to both sides is to undo the "minus 4" that's happening to the variable.

5 0
3 years ago
rodrigo is a salesman who earned a base pay of $38,800 and was paid commission of 14% for each book set he sold. If x represent
adoni [48]

Answer:

rodrigo will be getting be getting 5432 for his pay

Step-by-step explanation:


8 0
3 years ago
-3 x - 5 = 36. What is X?
Black_prince [1.1K]

Answer:

x = -13,67

Step-by-step explanation:

-3x - 5 = 36

-3x = 36 + 5

-3x = 41

x = 41/-3

x = -13 2/3

or

x = -13,67

make as the brainliest

7 0
4 years ago
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